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Foundation.VariationalDynamics /
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formal statement (Lean)
357 def IsVariationalTrajectory {N : ℕ} (traj : Trajectory N) : Prop :=
proof body
Definition body.
358 ∀ t, IsVariationalSuccessor (traj t) (traj (t + 1))
359
360 /-- **Theorem (Deterministic Evolution)**:
361 If two trajectories start from the same initial state and both
362 follow the variational dynamics, they are identical.
363
364 This is the equation-of-motion analogue of Laplacian determinism:
365 initial conditions + update rule = unique future. -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (15)
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